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Simplifying 0.13x + 0.5(x + -5) = 0.01(2x + -3) Reorder the terms: 0.13x + 0.5(-5 + x) = 0.01(2x + -3) 0.13x + (-5 * 0.5 + x * 0.5) = 0.01(2x + -3) 0.13x + (-2.5 + 0.5x) = 0.01(2x + -3) Reorder the terms: -2.5 + 0.13x + 0.5x = 0.01(2x + -3) Combine like terms: 0.13x + 0.5x = 0.63x -2.5 + 0.63x = 0.01(2x + -3) Reorder the terms: -2.5 + 0.63x = 0.01(-3 + 2x) -2.5 + 0.63x = (-3 * 0.01 + 2x * 0.01) -2.5 + 0.63x = (-0.03 + 0.02x) Solving -2.5 + 0.63x = -0.03 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -2.5 + 0.63x + -0.02x = -0.03 + 0.02x + -0.02x Combine like terms: 0.63x + -0.02x = 0.61x -2.5 + 0.61x = -0.03 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -2.5 + 0.61x = -0.03 + 0.00 -2.5 + 0.61x = -0.03 Add '2.5' to each side of the equation. -2.5 + 2.5 + 0.61x = -0.03 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 0.61x = -0.03 + 2.5 0.61x = -0.03 + 2.5 Combine like terms: -0.03 + 2.5 = 2.47 0.61x = 2.47 Divide each side by '0.61'. x = 4.049180328 Simplifying x = 4.049180328
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